The number 53649
53649 is a composite number with 8 divisors. Its prime factorisation is × 1987. Divisors (8): 1, 3, 9, 27, 1987, 5961, 17883, 53649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53649: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
53649 is composite. Its prime factorisation is
- 3
The divisors add up to 79520; without 53649 itself that is 25871, so 53649 is deficient (25871 is less than 53649). Euler's totient φ(53649) = 35748 numbers up to 53649 share no factor with it.
- 4
The digits of 53649 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53649 = 3^{3} \times 1987 \]53649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79520 |
| Euler totient φ(n) | 35748 |
| Square | 2878215201 |
| Cube | 154413367318449 |
| Square root | 231.622538 (= 3√5961) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3649 × |
53649 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and forty-nine |
| Binary (base 2) | 1101000110010001 |
| Octal (base 8) | 150621 |
| Hexadecimal (base 16) | D191 |
| Base 3 | 2201121000 |
| As time | 53649 seconds = 14 h 54 min 9 s |
Is 53649 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53649 ÷ 3 = 17883) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53649 ÷ 9 = 5961) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53649 a prime number?
No. 53649 = × 1987, so it is divisible by 3.
What are the factors of 53649?
1, 3, 9, 27, 1987, 5961, 17883, 53649.
What is 53649 in binary?
1101000110010001 (hexadecimal D191, octal 150621).
What is the square root of 53649?
About 231.6225, exactly 3√5961.
Is 53649 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53649?
53649 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.